EduSahara™ Worksheet

Question 1

1.

In the given figure, △FGH is right angled at G. If GH = 11 cm and ∠H = 30°, find FG and FH

(i)
11
3

√

3

cm

&

22
3

√

3

cm
(ii)
11
3

cm

&

25

cm
(iii)
11
3

4
√

3

cm

&

22
3

√

3

cm
(iv)
11
3

4
√

3

cm

&

25

cm
(v)
11
3

4
√

3

cm

&

22

cm

Question 2

2.

In the given figure, △HIJ is right angled at I. If IJ = 11 cm and ∠J = 45°, find HI and HJ

(i)
12

cm

&

22

cm
(ii)
10

cm

&

25

cm
(iii)
12

cm

&

25

cm
(iv)
12

cm

&

11

√

2

cm
(v)
11

cm

&

11

√

2

cm

Question 3

3.

In the given figure, △EFG is right angled at F. If FG = 10 cm and ∠G = 60°, find EF and EG

(i)
10

4
√

1
3

cm

&

21

cm
(ii)
10

√

3

cm

&

20

cm
(iii)
10

4
√

3

cm

&

20

cm
(iv)
10

4
√

3

cm

&

21

cm
(v)
10

4
√

3

cm

&

19

cm

Question 4

4.

In the given figure, △FHG is right angled at G. If FG = 7 cm and ∠H = 30°, find FH

(i)

12

cm
(ii)

15

cm
(iii)

13

cm
(iv)

14

cm
(v)

17

cm

Question 5

5.

In the given figure, △BDC is right angled at C. If BC = 8 cm and ∠D = 30°, find CD

(i)

12

√

2

cm
(ii)

24

cm
(iii)

8

cm
(iv)

8

√

18

cm
(v)

8

√

3

cm

Question 6

6.

In the given figure, △CED is right angled at D. If CD = 7 cm and ∠E = 30°, find CF

(i)

13
4

cm
(ii)

9
2

cm
(iii)

4

cm
(iv)

5
2

cm
(v)

7
2

cm

Question 7

7.

In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find CD

(i)

15

cm
(ii)

10

cm
(iii)

11

cm
(iv)

12

cm
(v)

13

cm

Question 8

8.

In the given figure, △HJI is right angled at I. If HI = 14 cm and ∠J = 45°, find HJ

(i)

14

cm
(ii)

7

√

12

cm
(iii)

28

√

3

cm
(iv)

14

√

2

cm
(v)

28

cm

Question 9

9.

In the given figure, △HJI is right angled at I. If HI = 13 cm and ∠J = 45°, find IJ

(i)

12

cm
(ii)

16

cm
(iii)

13

cm
(iv)

10

cm
(v)

14

cm

Question 10

10.

In the given figure, △ACB is right angled at B. If AB = 15 cm and ∠C = 45°, find AD

(i)

15
2

cm
(ii)

15

√

3

cm
(iii)

15

cm
(iv)

15
2

√

2

cm
(v)

15
4

√

12

cm

Question 11

11.

In the given figure, △GIH is right angled at H. If GH = 13 cm and ∠I = 45°, find IJ

(i)

13
2

cm
(ii)

13

cm
(iii)

13

√

3

cm
(iv)

13
4

√

12

cm
(v)

13
2

√

2

cm

Question 12

12.

In the given figure, △HJI is right angled at I. If HI = 24 cm and ∠J = 60°, find HJ

(i)

16

√

18

cm
(ii)

48

cm
(iii)

16

cm
(iv)

24

√

2

cm
(v)

16

√

3

cm

Question 13

13.

In the given figure, △GIH is right angled at H. If GH = 27 cm and ∠I = 60°, find HI

(i)

27

cm
(ii)

9

√

18

cm
(iii)

27
2

√

2

cm
(iv)

9

√

3

cm
(v)

9

cm

Question 14

14.

In the given figure, △HJI is right angled at I. If HI = 24 cm and ∠J = 60°, find HK

(i)

12

√

3

cm
(ii)

12

cm
(iii)

18

√

2

cm
(iv)

36

cm
(v)

12

√

18

cm

Question 15

15.

In the given figure, △EGF is right angled at F. If EF = 27 cm and ∠G = 60°, find GH

(i)

9
2

√

3

cm
(ii)

9
2

√

18

cm
(iii)

27
2

cm
(iv)

9
2

cm
(v)

27
4

√

2

cm

Question 16

16.

A chord of 16 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

10.0 cm
(ii)

8.0 cm
(iii)

7.0 cm
(iv)

6.0 cm
(v)

9.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 11 cm. Find the length of its sides.

(i)

11

cm
(ii)

11

√

18

cm
(iii)

33
2

√

2

cm
(iv)

11

√

3

cm
(v)

33

cm

Question 18

18.

In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 17 cm. P is the mid-point of DF. Find PF

(i)

17
4

√

2

cm
(ii)

17
6

√

3

cm
(iii)

17
6

cm
(iv)

17
6

√

18

cm
(v)

17
2

cm

Question 19

19.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 16 cm. S is the mid-point of IK. Find ∠SJK using tables.

(i)

18 ° 6 '
(ii)

16 ° 6 '
(iii)

14 ° 6 '
(iv)

13 ° 6 '
(v)

19 ° 6 '

Question 20

20.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 16 cm. P is the mid-point of JL. Find the length of the altitude from L to JK.

(i)

7

cm
(ii)

11

cm
(iii)

6

cm
(iv)

8

cm
(v)

9

cm

Question 21

21.

In the given figure, △HIJ is a right angle triangle with ∠J = 90° and IJ = 13 cm. Q is the mid-point of HJ. Find ∠QIH using tables.

(i)

10 ° 54 '
(ii)

15 ° 54 '
(iii)

13 ° 54 '
(iv)

11 ° 54 '
(v)

16 ° 54 '

Question 22

22.

In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 15 cm. Q is the mid-point of DF. Find QF

(i)

13
2

cm
(ii)

8

cm
(iii)

17
2

cm
(iv)

15
2

cm
(v)

29
4

cm

Question 23

23.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 17 cm. R is the mid-point of IK. Find ∠RJK using tables.

(i)

24 ° 34 '
(ii)

23 ° 34 '
(iii)

28 ° 34 '
(iv)

26 ° 34 '
(v)

29 ° 34 '

Question 24

24.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 13 cm. P is the mid-point of FH. Find the length of the altitude from H to FG.

(i)

13
4

√

12

cm
(ii)

13
2

cm
(iii)

13

cm
(iv)

13

√

3

cm
(v)

13
2

√

2

cm

Question 25

25.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 16 cm. P is the mid-point of CE. Find ∠PDC using tables.

(i)

21 ° 26 '
(ii)

15 ° 26 '
(iii)

20 ° 26 '
(iv)

18 ° 26 '
(v)

16 ° 26 '

Question 26

26.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 13 cm. P is the mid-point of FH. Find PH

(i)

13
2

√

3

cm
(ii)

13
2

cm
(iii)

39
2

cm
(iv)

39
4

√

2

cm
(v)

13
2

√

18

cm

Question 27

27.

In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 17 cm. S is the mid-point of DF. Find ∠SEF using tables.

(i)

43 ° 53 '
(ii)

38 ° 53 '
(iii)

40 ° 53 '
(iv)

42 ° 53 '
(v)

37 ° 53 '

Question 28

28.

In the given figure, △HIJ is a right angle triangle with ∠J = 90° and IJ = 15 cm. S is the mid-point of HJ. Find the length of the altitude from J to HI.